130524425424 has 240 divisors, whose sum is σ = 386584520400. Its totient is φ = 41047179264.

The previous prime is 130524425413. The next prime is 130524425429. The reversal of 130524425424 is 424524425031.

It can be written as a sum of positive squares in 8 ways, for example, as 4238010000 + 126286415424 = 65100^2 + 355368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130524425429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61306792 + ... + 61308920.

It is an arithmetic number, because the mean of its divisors is an integer number (1610768835).

Almost surely, 2^130524425424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130524425424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193292260200).

130524425424 is an abundant number, since it is smaller than the sum of its proper divisors (256060094976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130524425424 is a wasteful number, since it uses less digits than its factorization.

130524425424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 130524425424 in words is "one hundred thirty billion, five hundred twenty-four million, four hundred twenty-five thousand, four hundred twenty-four".